A note on the min-max formulation of stiffness optimization including non-zero prescribed displacements

Authors:
Anders Klarbring;Niclas Strömberg
Affiliations:
Mechanics, Department of Management and Engineering, The Institute of Technology, Linköping University, Linköping, Sweden 581 83;Department of Mechanical Engineering, Jönköping University, Jönköping, Sweden 551 11
Venue:
Structural and Multidisciplinary Optimization
Year:
2012

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Abstract

The present theoretical note shows how a natural objective function in stiffness optimization, including both prescribed forces and non-zero prescribed displacements, is the equilibrium potential energy. It also shows how the resulting problem has a saddle point character that may be utilized when calculating sensitivities.